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Finding the Fourth Proportional to 715.94, 1,074.17 and 305.04

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Solution

The fourth proportional to 715.94, 1,074.17 and 305.04 is: 457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.94 : 1,074.17 = 305.04 : x
  2. Step 2: Convert to fraction form
    715.94/1,074.17 = 305.04/x
  3. Step 3: Cross multiply
    715.94x = 1,074.17 × 305.04
  4. Step 4: Simplify right side
    715.94x = 327,664.82
  5. Step 5: Solve for x
    x = 327,664.82/715.94
  6. Step 6: Final answer
    x = 457.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.